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An application of differential subordinations and some criteria for univalency

Published online by Cambridge University Press:  17 April 2009

Shigeyoshi Owa  and
Milutin Obradović
Shigeyoshi Owa
Affiliation:
Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577, Japan
Milutin Obradović
Affiliation:
Department of Mathematics, Faculty of Technology and Metallurgy, University of Belgrade, 4 Karnegieva Street, 11000 Belgrade, Yugoslavia
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By using the method of differential subordinations, we derive, among other results, some criteria for univalency in the unit disc.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 3 , June 1990 , pp. 487 - 494
Copyright
Copyright © Australian Mathematical Society 1990

References

[1]Miller, S.S. and Mocanu, P.T., ‘Differential subordinations and univalent functions’, Michigan Math. J. 28 (1981), 157–171.CrossRefGoogle Scholar
[2]Miller, S.S. and Mocanu, P.T., ‘On some classes of first-order differential subordinations’, Michigan Math. J. 32 (1985), 185–195.CrossRefGoogle Scholar
[3]Mocanu, P.T., ‘Some starlikeness conditions for analytic functions’, Rev. Roumaine Math. Pures Appl. 33 (1988), 117–124.Google Scholar
[4]Obradović, M. and Owa, S., ‘An application of differential subordinations’, Math. Nachr. 146 (1990) (to appear).Google Scholar
[5]Obradović, M. and Owa, S., ‘An application of differential subordinations II’, (submitted).Google Scholar